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Finding the Fourth Proportional to 302,239.40, 417,082.01 and 164,413.75

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Solution

The fourth proportional to 302,239.40, 417,082.01 and 164,413.75 is: 226,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,239.40 : 417,082.01 = 164,413.75 : x
  2. Step 2: Convert to fraction form
    302,239.40/417,082.01 = 164,413.75/x
  3. Step 3: Cross multiply
    302,239.40x = 417,082.01 × 164,413.75
  4. Step 4: Simplify right side
    302,239.40x = 68,574,015,456.86
  5. Step 5: Solve for x
    x = 68,574,015,456.86/302,239.40
  6. Step 6: Final answer
    x = 226,886.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.